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Finding the Fourth Proportional to 3,491.42, 5,238.04 and 1,300.36

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Solution

The fourth proportional to 3,491.42, 5,238.04 and 1,300.36 is: 1,950.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,491.42 : 5,238.04 = 1,300.36 : x
  2. Step 2: Convert to fraction form
    3,491.42/5,238.04 = 1,300.36/x
  3. Step 3: Cross multiply
    3,491.42x = 5,238.04 × 1,300.36
  4. Step 4: Simplify right side
    3,491.42x = 6,811,337.69
  5. Step 5: Solve for x
    x = 6,811,337.69/3,491.42
  6. Step 6: Final answer
    x = 1,950.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.